1/2 y +6 = x
y=2 (x-6)
= 2x-12
f^-1 (x)= 2x-12
Answer:
3
Step-by-step explanation:
Step 1: Define
f(x) = 6ˣ - 4x
g(x) = 1/2x + 10
f(2) is x = 2
g(-2) is x = -2
Step 2: Find f(2) and g(-2)
f(2) = 6² - 4(6)
f(2) = 36 - 24
f(2) = 12
g(-2) = 1/2(-2) + 10
g(-2) = -1 + 10
g(-2) = 9
Step 3: Find f(2) - g(-2)
12 - 9 = 3
Answer:
B. 10 months
Step-by-step explanation:
The balance on the loan will be ...
b = 1600 - 80t . . . . . . where t is the number of months of payments
The balance in the savings account will be ...
s = 500 + 25t
The savings account balance will be at least as much as the loan balance when ...
s ≥ b
500 +25t ≥ 1600 -80t . . . substitute the account balance expressions
105t ≥ 1100 . . . . . . . . . . . . add 80t -500
t ≥ 1100/105 ≈ 10.48 ≈ 10
It will take Josh 10 months to have enough savings to pay the loan in full.
_____
<em>Comment on rounding</em>
IMO, it makes no sense to round down, as Josh will NOT have enough in 10 months. He will have enough after he makes one more payment of $80. At 10 months, the loan balance is $50 more than the savings balance. It will be 11 months before there is enough savings to pay off the loan.
If you think of the equation as an equation for a line.
y=mx+b
y
=
m
x
+
b
where
C=5/9(F−32)
C
=
5
/
9
(
F
−
32
)
or
C=5/9F−5/9(32)